I played my HA character as a horse-hunter for several gens. I tried HT a while ago, the aim is not as bad as people seem to think if you have done HA for a while. Just a different timing for releasing your missiles.
If my HA was a constant rain of accurate, low-medium damage to enemy horses, HT was like a much more explosive version. You may miss and run out of ammo incredibly quickly, or you may 1-shot the cataphract chasing you with your jarid.
Both fun, challenging, effective, and rewarding, but HA is much more viable for Strat. Otherwise I'd go HT all the way, purely for the ability to wreck horses in two-three hits.